Elena is solving the following equation for $x$.
>$\sqrt[\Large3]{3x-5}+2=7$
Her first few steps are given below.
>$\begin{align}\sqrt[\Large3]{3x-5}&=5\\
\\
\left(\sqrt[\Large3]{3x-5}\right)^3&=(5)^3\\
\\
3x-5&=125
\end{align}$
**Is it necessary for Elena to check her answers for extraneous solutions?**
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